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Generalisation de la decomposition de kato aux opérateurs paranormaux et spectraux

Published online by Cambridge University Press:  18 May 2009

Mostafa Mbekhta
Mostafa Mbekhta*
Affiliation:
Département de Mathématiques, U.A. 168 au C.N.R.S., Université de Nice, Parc Valrose, F-06034 Nice Cedex
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Dans tout ce qui suit, H désigne un espace de Hilbert séparable, A un opérateur fermé de domaine D(A) dans H, on note B(H) l'ensemble des opérateurs bornés de H dans lui-même et N(A), R(A) respectivement le noyau de A, l'image de A.

En 1958, T. Kato a démontré dans [7] le théorème suivant.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987 , pp. 159 - 175
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

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